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2435428245342 = 233379712010081
BaseRepresentation
bin100011011100001010110…
…101011101111101011110
322121211021011220120001210
4203130022311131331132
5304400224112322332
65102453103245250
7340645116344061
oct43341265357536
98554234816053
102435428245342
1185994a831294
12334003ba9826
13148876a470a1
1485c37d968d8
154353ed48ecc
hex2370ad5df5e

2435428245342 has 16 divisors (see below), whose sum is σ = 4871001017232. Its totient is φ = 811785327360.

The previous prime is 2435428245337. The next prime is 2435428245343.

2435428245342 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×24354282453423 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2435428245291 and 2435428245300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2435428245343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5802259 + ... + 6207822.

It is an arithmetic number, because the mean of its divisors is an integer number (304437563577).

Almost surely, 22435428245342 is an apocalyptic number.

2435428245342 is an abundant number, since it is smaller than the sum of its proper divisors (2435572771890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2435428245342 is a wasteful number, since it uses less digits than its factorization.

2435428245342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12043883.

The product of its digits is 7372800, while the sum is 48.

It can be divided in two parts, 2435428 and 245342, that added together give a triangular number (2680770 = T2315).

The spelling of 2435428245342 in words is "two trillion, four hundred thirty-five billion, four hundred twenty-eight million, two hundred forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 33797 67594 101391 202782 12010081 24020162 36030243 72060486 405904707557 811809415114 1217714122671 2435428245342